Simplify: (46 × 102)+(102 × 54)

Correct Answer is : 10,20010,20010,200

Correct Answer is : 10,20010,20010,200

Test Index

BECE Mathematics 2016 Paper

Question : 10

Total: 40

Simplify:

(46 \times 102)+(102 \times 54)

Solution:

Concept:

Use the distributive property by taking the common factor

102

out of both terms.

Explanation:

The given expression is

(46 \times 102) + (102 \times 54)

Here,

102

is common in both products.

So, factor out

102

102(46 + 54)

Now simplify inside the bracket:

46 + 54 = 100

Thus,

102(46 + 54) = 102 \times 100

Multiplying by

100

means adding two zeroes to

102

So,

102 \times 100 = 10200

Writing it with commas,

10200 = 10,200

Answer:

10,200

, which is option B.

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